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132465340 = 22571922621
BaseRepresentation
bin1111110010101…
…00001010111100
3100020020221021201
413321110022330
5232402342330
621051105244
73165636220
oct771241274
9306227251
10132465340
1168856197
1238442224
132159c977
1413842780
15b968eca
hex7e542bc

132465340 has 72 divisors (see below), whose sum is σ = 335657952. Its totient is φ = 43009920.

The previous prime is 132465337. The next prime is 132465341. The reversal of 132465340 is 43564231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 132465299 and 132465308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132465341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49230 + ... + 51850.

It is an arithmetic number, because the mean of its divisors is an integer number (4661916).

Almost surely, 2132465340 is an apocalyptic number.

132465340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132465340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167828976).

132465340 is an abundant number, since it is smaller than the sum of its proper divisors (203192612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132465340 is a wasteful number, since it uses less digits than its factorization.

132465340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 132465340 is about 11509.3588005588. The cubic root of 132465340 is about 509.7619547805.

The spelling of 132465340 in words is "one hundred thirty-two million, four hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 361 380 532 665 722 1330 1444 1805 2527 2621 2660 3610 5054 5242 7220 10108 10484 12635 13105 18347 25270 26210 36694 49799 50540 52420 73388 91735 99598 183470 199196 248995 348593 366940 497990 697186 946181 995980 1394372 1742965 1892362 3485930 3784724 4730905 6623267 6971860 9461810 13246534 18923620 26493068 33116335 66232670 132465340